Greetings Malcolm, In 1881 there was just one family of Moorhouses at Shipley. They are as follows:
James Moorhouse aged 29, head of house, worsted weaving foreman, born in Bradford, Yorks. Amelia R. Moorhouse aged 28, wife of above, born in Bradford Yorks. John W. Moorhouse aged 6 yrs, son of above,scholar, born at Windhill, Yorkshire. Lilly Moorhouse aged 3 years, daughter of James and Amelia, born at Shipley, Yorks. Annie Moorhouse aged one year, another daughter born at Shipley. They were living at Masons Houses or 11 Victoria Street [the address is ambiguous] in Shipley at the time of the census which is usually taken about mid year.
These people are almost certainly your relatives. If James and Amelia had a large family, then it is possible that these could be your grandparents. The son John W. Moorhouse would have been born about 1875 [+ or - one year] and that makes him eligible and perhaps more likely to be your grandfather.
It would be advisable to check the Shipley area in both the 1891 and 1901 censuses to confirm the correct relationship. I believe this can be done at a Latter Day Saints Family History Centre for 1891 census or through the internet [for a fee]for the newly released 1901 census.